Search a number
-
+
222514320 = 24357196971
BaseRepresentation
bin11010100001101…
…00110010010000
3120111200220021010
431100310302100
5423430424240
634025130520
75341224540
oct1520646220
9514626233
10222514320
11104670336
1262629a40
133713aca2
14217a3320
1514805280
hexd434c90

222514320 has 160 divisors (see below), whose sum is σ = 829946880. Its totient is φ = 48176640.

The previous prime is 222514319. The next prime is 222514349. The reversal of 222514320 is 23415222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28435 + ... + 35405.

It is an arithmetic number, because the mean of its divisors is an integer number (5187168).

Almost surely, 2222514320 is an apocalyptic number.

222514320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222514320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414973440).

222514320 is an abundant number, since it is smaller than the sum of its proper divisors (607432560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222514320 is a wasteful number, since it uses less digits than its factorization.

222514320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7013 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 222514320 is about 14916.9138899439. The cubic root of 222514320 is about 605.9721365267.

Adding to 222514320 its reverse (23415222), we get a palindrome (245929542).

The spelling of 222514320 in words is "two hundred twenty-two million, five hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 6971 7980 10640 13942 15960 20913 27884 31920 34855 41826 48797 55768 69710 83652 97594 104565 111536 132449 139420 146391 167304 195188 209130 243985 264898 278840 292782 334608 390376 397347 418260 487970 529796 557680 585564 662245 731955 780752 794694 836520 927143 975940 1059592 1171128 1324490 1463910 1589388 1673040 1854286 1951880 1986735 2119184 2342256 2648980 2781429 2927820 3178776 3708572 3903760 3973470 4635715 5297960 5562858 5855640 6357552 7417144 7946940 9271430 10595920 11125716 11711280 13907145 14834288 15893880 18542860 22251432 27814290 31787760 37085720 44502864 55628580 74171440 111257160 222514320